1025442041000 has 256 divisors, whose sum is σ = 2622267648000. Its totient is φ = 373055155200.

The previous prime is 1025442040999. The next prime is 1025442041017. The reversal of 1025442041000 is 1402445201.

1025442041000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 777438341 + ... + 777439659.

It is an arithmetic number, because the mean of its divisors is an integer number (10243233000).

Almost surely, 2^{1025442041000} is an apocalyptic number.

1025442041000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025442041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311133824000).

1025442041000 is an abundant number, since it is smaller than the sum of its proper divisors (1596825607000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1025442041000 is a wasteful number, since it uses less digits than its factorization.

1025442041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 1025442041000 its reverse (1402445201), we get a palindrome (1026844486201).

The spelling of 1025442041000 in words is "one trillion, twenty-five billion, four hundred forty-two million, forty-one thousand".